Greatest Common Factor of 3222 and 3225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3222, 3225 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3222 and 3225 is 3.

GCF(3222,3225) = 3

GCF of 3222 and 3225

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3222 and 3225

GCF of 3222 and 3225 is 3

Prime Factorization of 3222


2 3222
3 1611
3 537
179 179
1

Prime factors of 3222 are 2,3,179. Prime factorization of 3222 in exponential form is:

3222 = 21×32×1791

Prime Factorization of 3225


3 3225
5 1075
5 215
43 43
1

Prime factors of 3225 are 3,5,43. Prime factorization of 3225 in exponential form is:

3225 = 31×52×431

∴ So by taking common prime factors GCF of 3222 and 3225 is 3

Greatest Common Factor of 3222 and 3225 by matching factors method

Factors of 3222

List of positive integer factors of 3222 that divides 3222 without a remainder.

1,2,3,6,9,18,179,358,537,1074,1611,3222

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Greatest Common Factor

We found the factors and prime factorization of 3222 and 3225. The biggest common factor number is the GCF number.
So the greatest common factor 3222 and 3225 is 3.

Also check out the Least Common Multiple of 3222 and 3225

Properties of GCF 3222 and 3225

(i) The GCF of 3222 and 3225 is associative

GCF of 3222 and 3225 = GCF of 3225 and 3222

Related Greatest Common Factor of 3222

Related Greatest Common Factor of 3225

Frequently Asked Questions on GCF of 3222 and 3225

1. What is the GCF of 3222 and 3225?

Answer: GCF of 3222 and 3225 is 3.

2. What are the Factors of 3222?

Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.

3. What are the Factors of 3225?

Answer: Factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. There are 12 integers that are factors of 3225. The greatest factor of 3225 is 3225.

4. How to Find the GCF of 3222 and 3225?

Answer:

Greatest Common Factor of 3222 and 3225 = 3

Step 1: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

Step 2: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3222 and 3225 is 3